High-frequency viscosity and generalized Stokes–Einstein relations in dense suspensions of porous particles

We study the high-frequency limiting shear viscosity, , of colloidal suspensions of uncharged porous particles. An individual particle is modeled as a uniformly porous sphere with the internal solvent flow described by the Debye–Bueche–Brinkman equation. A precise hydrodynamic multipole method with a full account of many-particle hydrodynamic interactions encoded in the HYDROMULTIPOLE program extended to porous particles, is used to calculate as a function of porosity and concentration. The second-order virial expansion for is derived, and its range of applicability assessed. The simulation results are used to test the validity of generalized Stokes–Einstein relations between and various short-time diffusion coefficients, and to quantify the accuracy of a simplifying cell model calculation of . An easy-to-use generalized Saitô formula for is presented which provides a good description of its porosity and concentration dependence.

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